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Finding the Fourth Proportional to 587.61, 809.06 and 498.91

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Solution

The fourth proportional to 587.61, 809.06 and 498.91 is: 686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.61 : 809.06 = 498.91 : x
  2. Step 2: Convert to fraction form
    587.61/809.06 = 498.91/x
  3. Step 3: Cross multiply
    587.61x = 809.06 × 498.91
  4. Step 4: Simplify right side
    587.61x = 403,642.83
  5. Step 5: Solve for x
    x = 403,642.83/587.61
  6. Step 6: Final answer
    x = 686.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.